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Physics-Informed Neural Networks (PINNs) frequently encounter difficulties in accurately resolving shock waves within high-speed compressible flows, a failure largely attributed to the "gradient pathology" arising from extreme stiffness at…

计算物理 · 物理学 2026-05-25 Darui Zhao , Ze Tao , Fujun Liu

Direct observations of earthquake nucleation and propagation are few and yet the next decade will likely see an unprecedented increase in indirect, surface observations that must be integrated into modeling efforts. Machine learning (ML)…

数学物理 · 物理学 2024-07-25 Cody Rucker , Brittany A. Erickson

We provide an approach enabling one to employ physics-informed neural networks (PINNs) for uncertainty quantification. Our approach is applicable to systems where observations are scarce (or even lacking), these being typical situations…

数据分析、统计与概率 · 物理学 2024-08-12 Milad Panahi , Giovanni Michele Porta , Monica Riva , Alberto Guadagnini

Seismic wave forward and inverse modeling are fundamental tools for subsurface imaging and geological hazard assessment. Conventional grid-based numerical methods, such as finite-difference and finite-element approaches, often require dense…

地球物理 · 物理学 2026-01-23 Chaohua Liang , Xingliang Peng , Jun Matsushima

Solving the two-dimensional shallow water equations is a fundamental problem in flood simulation technology. In recent years, physics-informed neural networks (PINNs) have emerged as a novel methodology for addressing this problem. Given…

流体动力学 · 物理学 2025-01-22 Yongfu Tian , Shan Ding , Guofeng Su , Lida Huang , Jianguo Chen

Fault slip modeling, based on laboratory-derived friction laws, has significantly enhanced our understanding of fault mechanics. Agreement between model predictions and observations supports the hypothesis that observed slip diversity,…

地球物理 · 物理学 2026-01-29 Rikuto Fukushima , Masayuki Kano , Kazuro Hirahara , Makiko Ohtani

The utilization of Deep Neural Networks (DNNs) in physical science and engineering applications has gained traction due to their capacity to learn intricate functions. While large datasets are crucial for training DNN models in fields like…

机器学习 · 计算机科学 2025-08-05 Vamsi Sai Krishna Malineni , Suresh Rajendran

High-resolution reconstruction of flow-field data from low-resolution and noisy measurements is of interest due to the prevalence of such problems in experimental fluid mechanics, where the measurement data are in general sparse, incomplete…

流体动力学 · 物理学 2024-02-23 Hamidreza Eivazi , Yuning Wang , Ricardo Vinuesa

A novel deep learning technique called Physics Informed Neural Networks (PINNs) is adapted to study steady groundwater flow in unconfined aquifers. This technique utilizes information from underlying physics represented in the form of…

地球物理 · 物理学 2021-12-28 Mohammad Afzal Shadab , DingCheng Luo , Yiran Shen , Eric Hiatt , Marc Andre Hesse

Physics-informed neural networks (PINNs) is an emerging category of neural networks which can be trained to solve supervised learning tasks while taking into consideration given laws of physics described by general nonlinear partial…

密码学与安全 · 计算机科学 2026-04-07 Solon Falas , Charalambos Konstantinou , Maria K. Michael

For decades, solutions to regional scale landslide prediction have mostly relied on data-driven models, by definition, disconnected from the physics of the failure mechanism. The success and spread of such tools came from the ability to…

地球物理 · 物理学 2024-12-04 Ashok Dahal , Luigi Lombardo

We present a physics-informed neural network (PINN) model to predict the hydrodynamic force and torque fluctuations in a random array of stationary bidisperse spheres. The PINN model is formulated based on two hypotheses: (i) pairwise…

流体动力学 · 物理学 2023-05-08 Zihao Cheng , Anthony Wachs

We develop a physics-informed neural network (PINN) to significantly augment state-of-the-art experimental data and apply it to stratified flows. The PINN is a fully-connected deep neural network fed with time-resolved, three-component…

流体动力学 · 物理学 2023-09-27 Lu Zhu , Xianyang Jiang , Adrien Lefauve , Rich R. Kerswell , P. F. Linden

Estimating the material distribution of Earth's subsurface is a challenging task in seismology and earthquake engineering. The recent development of physics-informed neural network (PINN) has shed new light on seismic inversion. In this…

地球物理 · 物理学 2023-05-10 Pu Ren , Chengping Rao , Hao Sun , Yang Liu

System identification under unknown external excitation is an inherently ill-posed problem, typically requiring additional knowledge or simplifying assumptions to enable reliable state and parameter estimation. The difficulty of the problem…

信号处理 · 电气工程与系统科学 2025-11-11 Antonina Kosikova , Apostolos Psaros , Andrew Smyth

Physics-informed neural networks (PINNs) have gained significant prominence as a powerful tool in the field of scientific computing and simulations. Their ability to seamlessly integrate physical principles into deep learning architectures…

机器学习 · 计算机科学 2024-04-05 Zakaria Elabid , Daniel Busby , Abdenour Hadid

Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

流体动力学 · 物理学 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

We consider strongly-nonlinear and weakly-dispersive surface water waves governed by equations of Boussinesq type, known as the Serre-Green-Naghdi system; it describes future states of the free water surface and depth averaged horizontal…

流体动力学 · 物理学 2022-02-08 Ameya D. Jagtap , Dimitrios Mitsotakis , George Em Karniadakis

Structural failures are often caused by catastrophic events such as earthquakes and winds. As a result, it is crucial to predict dynamic stress distributions during highly disruptive events in real time. Currently available high-fidelity…

机器学习 · 计算机科学 2022-11-30 Hamed Bolandi , Gautam Sreekumar , Xuyang Li , Nizar Lajnef , Vishnu Naresh Boddeti

The transformative impact of machine learning, particularly Deep Learning (DL), on scientific and engineering domains is evident. In the context of computational fluid dynamics (CFD), Physics-Informed Neural Networks (PINNs) represent a…

流体动力学 · 物理学 2024-04-05 Siddharth Raghu , Rajdip Nayek , Vamsi Chalamalla
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